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Abstract
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In this paper, we introduce the notion of ?-hyperalgebras for an ar-
bitrary signature ? and provide some examples. Then we extend the
notions of several kinds of homomorphisms and study their properties.
Also, we study subhyperalgebras of a ?-hyperalgebra A, Sub(A), under
algebraic closure operators S, H and I. Finally, we introduce the notions
of closed, invertible, ultraclosed and conjugable subhyperalgebras and
investigate their connections to each other.
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